Hey, I found "Huggin and Chalkin" here (click), complete with a recording. Apparently, Mercer did record it - but he didn't write it. This Google Search (click) will take you to lots of information on the song.
-Joe Offer-

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Huggin' and Chalkin'
(Clancy Hayes & Kermit Goell 1946)

I gotta gal that's mighty sweet,
With big blue eyes and tiny feet.
Her name is Rosabelle Magee,
And she tips the scale at three-o-three,
Oh!
Gee but ain't it grand to have a girl so big and fat

That when you go to hug 'er
You don't know where you're at, you
Have to take a piece of chalk in your hand
And hug a way and chalk a mark to see where you began.
One day -
I was a huggin' and a chalkin'
And a chalkin' and a huggin' away
When I met another fella with some chalk in his hand
Comin' around the other way 'round the mountain,
Comin' around the other way.

Nobody ever said I'm weak,
My bones don't ache and my joints don't creak.
But I grow absolutely limp,
Ev'ry time I kiss my baby blimp,
Oh!
Gee but ain't it grand to have a girl so big and fat
That when you go to hug 'er
You don't know where you're at, you
Have to take a piece of chalk in your hand
And hug a way and chalk a mark to see where you began.
One day -
I had a yen for someone leaner,
She was meaner than a mink in a pen.
So I left her, now I'm happy as a fella could be
Huggin' and chalkin' once again 'round my Rosie,
Huggin' and chalkin' once again.

Oh!
Gee but ain't it grand to have a girl so big and fat
That when you go to hug 'er
You don't know where you're at, you
Have to take a piece of chalk in your hand
And hug a way and chalk a mark to see where you began.
One day -
I was a huggin' and a chalkin'
And a beggin' her to be my bride
When I met another fella with some chalk in his hand
Comin' around the other side 'round the mountain,
Comin' around the other side.